Question

The sum of the squares of two consecutive positive even integers is 340. Find the integers.

Answer 1

what number comes right after n?

Answer 2

That's the full question. That's all this test gave me. It says "The sum of the squares of two consecutive poistive even integers is 340. Find the Integers"

Answer 3

Positive**

Answer 4

yes i know
but what comes after n?

Answer 5

I don't know!

Answer 6

like for instance
if i asked you:
what comes after 1,
you would say 1+1

Answer 7

if i said what comes after 2,
you would say 2+1

Answer 8

if i said what comes after 3,
you would say 3+1

Answer 9

So would it be n+n? or n+1??

Answer 10

I'm adding 1 to each of those not n

Answer 11

so n+1

Answer 12

n,n+1 these are consecutive positive numbers

Answer 13

of course we are assuming n is positive

Answer 14

now it says the sum of the squares of these numbers

Answer 15

those aren't numbers.. Those are letter o_O

Answer 16

so that means
we will adding these numbers squares

Answer 17

Do you know the answer to this or what??

Answer 18

\[n^2+(n+1)^2=\]
It says the sum of these squares =340
so what should come after that = sign?

Answer 19

I'm not gonna give you the answer

Answer 20

I will guide you

Answer 21

You need to solve this for n
\[n^2+(n+1)^2=340 \]

Answer 22

Do you know how to solve this?

Answer 23

I got
\[\chi \approx 12.5288 , -13.5288\]

Answer 24

Which is in no way the answer -__-

Answer 25

Your problem does not have integer solution.

Answer 26

@eliassaab is right

Answer 27

What do you mean?

Answer 28

that positive number 12.5288 is not an integer

Answer 29

Well duhh. That's why i need help??

Answer 30

wait your question said even?

Answer 31

I got the answer. its' 12 and 14. Thanks for the "help"

Answer 32

So if 2 is the first even integer then what is the next even integer?
2,2+2
right?

if 4 is the first even integer then what is the next even integer?
4,4+2
-----
we add 2

-----
if n is the first even integer, then what is the next even integer?

Answer 33

why do you have to say it like that @DeaneNicole ?
I was just trying to help

Answer 34

No no no no no no no no no i didn't mean it like that!! Sorry /:

Answer 35

Ok ok. Its all cool.

Answer 36

Alright.

Answer 37

I'm sorry I miss the word even

Answer 38

all those tiny words have meaning lol

Answer 39

You have to solve (2n)^2 + (2n+2)^2 =340
n =6
so 12 and 14

Answer 40

@eliassaab we already got it.

Answer 41

and @eliassaab this would have worked too
\[n^2+(n+2)^2=340 \]

Answer 42

\[
12^2+14^2=144+196=340
\]

Answer 43

Sorry, I did not see your post above
@DeaneNicole